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Finding the Fourth Proportional to 129,751.64, 194,610.71 and 41,014.11

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Solution

The fourth proportional to 129,751.64, 194,610.71 and 41,014.11 is: 61,515.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,751.64 : 194,610.71 = 41,014.11 : x
  2. Step 2: Convert to fraction form
    129,751.64/194,610.71 = 41,014.11/x
  3. Step 3: Cross multiply
    129,751.64x = 194,610.71 × 41,014.11
  4. Step 4: Simplify right side
    129,751.64x = 7,981,784,862.05
  5. Step 5: Solve for x
    x = 7,981,784,862.05/129,751.64
  6. Step 6: Final answer
    x = 61,515.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.